Quantum Mechanics for Nuclear Structure, Volume 2. Professor Kris Heyde

      

      IOP Series in Nuclear Spectroscopy and Nuclear Structure

       Series Editors

      John Wood, Georgia Institute of Technology, USA

      Kristiaan Heyde, Ghent University, Belgium

      David Jenkins, University of York, UK

       About the Series:

      The IOP Series in Nuclear Spectroscopy and Nuclear Structure provides up-to-date coverage of theoretical and experimental topics in all areas of modern nuclear spectroscopy and structure. Books in the series range from student primers, graduate textbooks, research monographs and practical guides to meet the needs of students and scientists.

      All aspects of nuclear spectroscopy and structure research are included, for example:

       Nuclear systematics and data

       Ab-initio models

       Shell model-based descriptions

       Nuclear collective models

       Nuclear symmetries and algebraic descriptions

       Many-body aspects of nuclear structure

       Quantum mechanics for nuclear structure study

       Spectroscopy with gamma-rays, charged particles and neutrons following radioactive decay and reactions

       Spectroscopy of rare isotopes

       Detectors employed for gamma-ray, neutron and charged-particle detection in nuclear spectroscopy and related societal applications.

      Quantum Mechanics for Nuclear Structure, Volume 2

      An intermediate level view

      Kris Heyde

       Ghent University, Belgium

      John L Wood

       School of Physics, Georgia Tech, Atlanta, GA 30332-0430, USA

      IOP Publishing, Bristol, UK

      © IOP Publishing Ltd 2020

      All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the publisher, or as expressly permitted by law or under terms agreed with the appropriate rights organization. Multiple copying is permitted in accordance with the terms of licences issued by the Copyright Licensing Agency, the Copyright Clearance Centre and other reproduction rights organizations.

      Permission to make use of IOP Publishing content other than as set out above may be sought at [email protected].

      Kris Heyde and John L Wood have asserted their right to be identified as the authors of this work in accordance with sections 77 and 78 of the Copyright, Designs and Patents Act 1988.

      ISBN 978-0-7503-2171-6 (ebook)

      ISBN 978-0-7503-2169-3 (print)

      ISBN 978-0-7503-2172-3 (myPrint)

      ISBN 978-0-7503-2170-9 (mobi)

      DOI 10.1088/978-0-7503-2171-6

      Version: 20200401

      IOP ebooks

      British Library Cataloguing-in-Publication Data: A catalogue record for this book is available from the British Library.

      Published by IOP Publishing, wholly owned by The Institute of Physics, London

      IOP Publishing, Temple Circus, Temple Way, Bristol, BS1 6HG, UK

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      Contents

       Preface

       Author biographies

       1 Representation of rotations, angular momentum and spin

       1.1 Rotations in (3, R)

       1.2 Matrix representations of spin and angular momentum operators

       1.3 The Pauli spin matrices

       1.4 Matrix representations of rotations in ket space

       1.5 Tensor representations for SU(2)

       1.6 Tensor representations for SO(3)

       1.7 The Schwinger representations for SU(2)

       1.8 A spinor function basis for SU(2)

       1.9 A spherical harmonic basis for SO(3)

       1.10 Spherical harmonics and wave functions

       1.11 Spherical harmonics and rotation matrices

       1.12 Properties of the rotation matrices

       1.13 The rotation of 〈jm∣

       1.14 The rotation of the Ylm(θ,ϕ)

       1.15 Exercises

       1.16 Spin-12 particles; neutron interferometry

       1.17 The Bargmann representation

       1.17.1 Representation of operators

       1.18 Coherent states for SU(2)

       1.19 Properties of SU(2) from coherent states

       1.20 Exercises

       References

       2 Addition of angular momenta and spins

       2.1 The coupling of two spin-12 particles